select the correct answer. which formula gives the average rate of change of f(x) over the interval 8, 12…

select the correct answer. which formula gives the average rate of change of f(x) over the interval 8, 12? a. $\frac{f(8)-f(12)}{12 - 8}$ b. $\frac{f(12)-f(8)}{8 - 12}$ c. $\frac{f(12)-f(8)}{12 - 8}$ d. $f(12)-f(8)$

select the correct answer. which formula gives the average rate of change of f(x) over the interval 8, 12? a. $\frac{f(8)-f(12)}{12 - 8}$ b. $\frac{f(12)-f(8)}{8 - 12}$ c. $\frac{f(12)-f(8)}{12 - 8}$ d. $f(12)-f(8)$

Answer

Explanation:

Step1: Record la fórmula general

La tasa promedio de cambio de una función $y = f(x)$ en el intervalo $[a,b]$ está dada por $\frac{f(b)-f(a)}{b - a}$.

Step2: Identificar $a$ y $b$

En el intervalo $[8,12]$, $a = 8$ y $b=12$.

Step3: Sustituir valores en la fórmula

Sustituyendo $a = 8$ y $b = 12$ en $\frac{f(b)-f(a)}{b - a}$, obtenemos $\frac{f(12)-f(8)}{12 - 8}$.

Answer:

C. $\frac{f(12)-f(8)}{12 - 8}$